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Extensions 1→N→G→Q→1 with N=C60⋊5C4 and Q=C2

Direct product G=N×Q with N=C60⋊5C4 and Q=C2
dρLabelID
C2×C60⋊5C4480C2xC60:5C4480,890

Semidirect products G=N:Q with N=C60⋊5C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C60⋊5C4⋊1C2 = D60⋊8C4φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:1C2480,181
C60⋊5C4⋊2C2 = C60⋊5C4⋊C2φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:2C2480,418
C60⋊5C4⋊3C2 = (C2×C60).C22φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:3C2480,438
C60⋊5C4⋊4C2 = D10.17D12φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:4C2480,490
C60⋊5C4⋊5C2 = D6⋊2Dic10φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:5C2480,493
C60⋊5C4⋊6C2 = D10⋊2Dic6φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:6C2480,498
C60⋊5C4⋊7C2 = D6.9D20φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:7C2480,533
C60⋊5C4⋊8C2 = C22⋊2Dic30φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:8C2480,843
C60⋊5C4⋊9C2 = C23.8D30φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:9C2480,844
C60⋊5C4⋊10C2 = D30.28D4φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:10C2480,848
C60⋊5C4⋊11C2 = C22.D60φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:11C2480,851
C60⋊5C4⋊12C2 = D30⋊6Q8φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:12C2480,862
C60⋊5C4⋊13C2 = C4⋊C4⋊D15φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:13C2480,863
C60⋊5C4⋊14C2 = C60.205D4φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:14C2480,889
C60⋊5C4⋊15C2 = C60⋊29D4φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:15C2480,895
C60⋊5C4⋊16C2 = D4⋊Dic15φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:16C2480,192
C60⋊5C4⋊17C2 = C4⋊C4×D15φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:17C2480,856
C60⋊5C4⋊18C2 = C4⋊C4⋊7D15φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:18C2480,857
C60⋊5C4⋊19C2 = D4×Dic15φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:19C2480,899
C60⋊5C4⋊20C2 = C60⋊2D4φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:20C2480,903
C60⋊5C4⋊21C2 = D30⋊7Q8φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:21C2480,911
C60⋊5C4⋊22C2 = C6.D40φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:22C2480,41
C60⋊5C4⋊23C2 = (S3×C20)⋊5C4φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:23C2480,414
C60⋊5C4⋊24C2 = C60.46D4φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:24C2480,445
C60⋊5C4⋊25C2 = Dic3×D20φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:25C2480,501
C60⋊5C4⋊26C2 = S3×C4⋊Dic5φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:26C2480,502
C60⋊5C4⋊27C2 = C60⋊4D4φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:27C2480,532
C60⋊5C4⋊28C2 = C10.D24φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:28C2480,43
C60⋊5C4⋊29C2 = (C4×D5)⋊Dic3φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:29C2480,434
C60⋊5C4⋊30C2 = C60.67D4φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:30C2480,435
C60⋊5C4⋊31C2 = D5×C4⋊Dic3φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:31C2480,488
C60⋊5C4⋊32C2 = Dic5×D12φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:32C2480,491
C60⋊5C4⋊33C2 = C60⋊D4φ: C2/C1 → C2 ⊆ Out C60⋊5C4240C60:5C4:33C2480,525
C60⋊5C4⋊34C2 = C4×D60φ: trivial image240C60:5C4:34C2480,838
C60⋊5C4⋊35C2 = C23.26D30φ: trivial image240C60:5C4:35C2480,891

Non-split extensions G=N.Q with N=C60⋊5C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C60⋊5C4.1C2 = Dic30⋊8C4φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.1C2480,176
C60⋊5C4.2C2 = C120⋊10C4φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.2C2480,177
C60⋊5C4.3C2 = C120⋊9C4φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.3C2480,178
C60⋊5C4.4C2 = Dic5.1Dic6φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.4C2480,410
C60⋊5C4.5C2 = Dic3.Dic10φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.5C2480,419
C60⋊5C4.6C2 = C60⋊8Q8φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.6C2480,834
C60⋊5C4.7C2 = C60.24Q8φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.7C2480,835
C60⋊5C4.8C2 = Dic15.3Q8φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.8C2480,854
C60⋊5C4.9C2 = C4.Dic30φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.9C2480,855
C60⋊5C4.10C2 = C60.1Q8φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.10C2480,167
C60⋊5C4.11C2 = C60.2Q8φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.11C2480,168
C60⋊5C4.12C2 = Q8⋊2Dic15φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.12C2480,195
C60⋊5C4.13C2 = C4⋊Dic30φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.13C2480,853
C60⋊5C4.14C2 = Q8×Dic15φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.14C2480,910
C60⋊5C4.15C2 = C6.Dic20φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.15C2480,47
C60⋊5C4.16C2 = C60.Q8φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.16C2480,63
C60⋊5C4.17C2 = C60.5Q8φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.17C2480,66
C60⋊5C4.18C2 = Dic3×Dic10φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.18C2480,406
C60⋊5C4.19C2 = C60.6Q8φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.19C2480,457
C60⋊5C4.20C2 = C20⋊4Dic6φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.20C2480,545
C60⋊5C4.21C2 = C10.Dic12φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.21C2480,49
C60⋊5C4.22C2 = C60.7Q8φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.22C2480,61
C60⋊5C4.23C2 = C60.8Q8φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.23C2480,64
C60⋊5C4.24C2 = Dic5×Dic6φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.24C2480,408
C60⋊5C4.25C2 = C20.Dic6φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.25C2480,464
C60⋊5C4.26C2 = C60⋊Q8φ: C2/C1 → C2 ⊆ Out C60⋊5C4480C60:5C4.26C2480,544
C60⋊5C4.27C2 = C4×Dic30φ: trivial image480C60:5C4.27C2480,833

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